Answer:
The cost of a hamburger is 2.25
The cost of fries is 1.75
Step-by-step explanation:
Let h = cost of hamburgers
let f= cost of fries
4h + 3f = 14.25
3h+5f = 15.50
I will solve these by elimination
Multiply the 1st equation by 3
3(4h + 3f )= (14.25)3
12h +9f = 42.75
Multiply the 2nd equation by -4
-4(3h+5f )= -4(15.50)
-12h - 20f = -62
Add the modified equations together
12h +9f = 42.75
-12h - 20f = -62
----------------------------
-11 f = -19.25
Divide each side by -11
-11f/-11 = -19.25/-11
f = 1.75
Now we need to find the cost of the hamburger
3h+5f = 15.50
Substitute the cost of the fries in
3h + 5(1.75) = 15.50
3h +8.75 + 15.50
Subtract 8.75 from each side
3h = 15.5-8.75
3h =6.75
Divide by 3
3h/3 =6.75/3
h = 2.25
